Add all ingredients except the Oreos to your Ninja Creami container. Stir to combine.
Freeze on a level surface for at least 18 hours.
Cut 4 Oreos into small pieces.
Remove ice cream from the freezer and process on the Ice Cream setting. If crumbly or powdery, add a splash of milk and respin.
Create a hole in the center of the ice cream and add the Oreo pieces. Use the "Mix in" setting to incorporate the Oreos into the ice cream.
If desired, chop up one more Oreo and add it as a topping. Enjoy!
Notes
Before processing my ice cream, I run warm water along the edge of the container for 30-45 seconds to thaw the outer layer.
If you have leftovers, simply smooth down, and return to the freezer. You may need to process again.
For a less-sweet version, use ¼ cup sugar instead of ⅓ cup sugar.
As with any recipe using cottage cheese, if you don't want it to have a tangy flavor, make sure your cottage cheese is fresh and choose a brand that doesn't make tangy cottage cheese.